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Finding the Fourth Proportional to 1,130.70, 1,695.88 and 390.43

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Solution

The fourth proportional to 1,130.70, 1,695.88 and 390.43 is: 585.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.70 : 1,695.88 = 390.43 : x
  2. Step 2: Convert to fraction form
    1,130.70/1,695.88 = 390.43/x
  3. Step 3: Cross multiply
    1,130.70x = 1,695.88 × 390.43
  4. Step 4: Simplify right side
    1,130.70x = 662,122.43
  5. Step 5: Solve for x
    x = 662,122.43/1,130.70
  6. Step 6: Final answer
    x = 585.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.